101001010221120 has 224 divisors, whose sum is σ = 345107891074176. Its totient is φ = 24933711052800.

The previous prime is 101001010221107. The next prime is 101001010221121. The reversal of 101001010221120 is 21122010100101.

It is a super-2 number, since 2×101001010221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101001010221096 and 101001010221105.

It is not an unprimeable number, because it can be changed into a prime (101001010221121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49732246 + ... + 51723285.

Almost surely, 2^{101001010221120} is an apocalyptic number.

101001010221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001010221120 is an abundant number, since it is smaller than the sum of its proper divisors (244106880853056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101001010221120 is a wasteful number, since it uses less digits than its factorization.

101001010221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101455629 (or 101455619 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001010221120 its reverse (21122010100101), we get a palindrome (122123020321221).

The spelling of 101001010221120 in words is "one hundred one trillion, one billion, ten million, two hundred twenty-one thousand, one hundred twenty".